6002871456 has 96 divisors (see below), whose sum is σ = 16068326400. Its totient is φ = 1961680640.

The previous prime is 6002871449. The next prime is 6002871487. The reversal of 6002871456 is 6541782006.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2439955 + ... + 2442413.

It is an arithmetic number, because the mean of its divisors is an integer number (167378400).

Almost surely, 2^6002871456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6002871456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8034163200).

6002871456 is an abundant number, since it is smaller than the sum of its proper divisors (10065454944).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6002871456 is a wasteful number, since it uses less digits than its factorization.

6002871456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2962 (or 2954 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 6002871456 is about 77478.1998758360. The cubic root of 6002871456 is about 1817.4104233700.

The spelling of 6002871456 in words is "six billion, two million, eight hundred seventy-one thousand, four hundred fifty-six".